Geodesic
Coefficient Estimates for a Class of Star-Like Functions
Canadian journal of mathematics, Tome 22 (1970) no. 3, pp. 476-485

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we continue the study, initiated in [1], of the class S*(α) of functions (1.1) that are analytic and univalent in the unit disc U and satisfy the condition (1.2) S*(1) is the frequently studied class of univalent star-like functions. For each α, S*(α) is a subclass of the class K(α) of close-to-convex functions of order α introduced by Pommerenke [4]. Properties of the class S*(α) proved useful in studying the coefficient behaviour of bounded univalent functions that are analytic and map U onto a convex domain [1]. In this note we investigate the problem of determining but we are able to give only a partial solution. 
Brannan, D. A.; Clunie, J.; Kirwan, W. E. Coefficient Estimates for a Class of Star-Like Functions. Canadian journal of mathematics, Tome 22 (1970) no. 3, pp. 476-485. doi: 10.4153/CJM-1970-055-8
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